Residual properties and almost equicontinuity.

DOI10.1007/BF02788112zbMath1182.37009MaRDI QIDQ5947098

Shmuel Glasner, Ethan Akin

Publication date: 21 October 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (42)

Broken family sensitivity in transitive systems ⋮ Invariant scrambled sets, uniform rigidity and weak mixing ⋮ W-measurable sensitivity of semigroup actions ⋮ Density-equicontinuity and density-sensitivity ⋮ Lowering topological entropy over subsets revisited ⋮ Conjugacy classes of weakly mixing systems ⋮ Dynamical systems disjoint from any minimal system ⋮ On local aspects of topological weak mixing, sequence entropy and chaos ⋮ Almost totally disconnected minimal systems ⋮ A survey of some aspects of dynamical topology: dynamical compactness and Slovak spaces ⋮ Hypercyclic operators, Gauss measures and Polish dynamical systems ⋮ On proximality with Banach density one ⋮ Sensitivity, local stable/unstable sets and shadowing ⋮ Dynamics of induced systems ⋮ \(M\)-systems and scattering systems of semigroup actions ⋮ \(\mathcal F\)-mixing and weak disjointness. ⋮ Null systems in the non-minimal case ⋮ The multi-transitivity of free semigroup actions ⋮ Suspensions of homeomorphisms with the two-sided limit shadowing property ⋮ Analogues of Auslander–Yorke theorems for multi-sensitivity ⋮ Topological chain and shadowing properties of dynamical systems on uniform spaces ⋮ Dynamical systems in categories ⋮ Finite intersection property and dynamical compactness ⋮ Product recurrent properties, disjointness and weak disjointness ⋮ Sensitive dependence on initial conditions and chaotic group actions ⋮ Banach Representations and Affine Compactifications of Dynamical Systems ⋮ Transitive points via Furstenberg family ⋮ Implications of pseudo-orbit tracing property for continuous maps on compacta ⋮ Sufficient conditions under which a transitive system is chaotic ⋮ Devaney's chaos or 2-scattering implies Li-Yorke's chaos ⋮ Dynamical compactness and sensitivity ⋮ Beyond topological hyperbolicity: the L-shadowing property ⋮ Sensitivity of iterated function systems ⋮ Local entropy theory ⋮ Conceptions on topological transitivity in products and symmetric products ⋮ Variations on the concept of topological transitivity ⋮ Classification of transitive group actions ⋮ Maximal chain continuous factor ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps ⋮ On Li-Yorke measurable sensitivity ⋮ Some dynamical properties of syndetic subsemigroups actions ⋮ Recent development of chaos theory in topological dynamics

Cites Work

• Interval maps, factors of maps, and chaos
• Proximal-isometric (\(\mathcal P\mathfrak F\)) flows
• Proximal flows
• On minimal actions of Polish groups
• A variation on the variational principle and applications to entropy pairs
• Rigidity in topological dynamics
• Weakly Almost Periodic Flows
• Divisible Properties and the Stone-Čech Compactification
• Sensitive dependence on initial conditions
• Some universal constructions in abstract topological dynamics
• Topological complexity
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Weak Disjointness of Transformation Groups
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